1009101009101 has 8 divisors (see below), whose sum is σ = 1009980795000. Its totient is φ = 1008221340672.

The previous prime is 1009101009083. The next prime is 1009101009121. The reversal of 1009101009101 is 1019001019001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 102275238025 + 906825771076 = 319805^2 + 952274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1009101009101 - 2¹⁰ = 1009101008077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009101009121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30550271 + ... + 30583283.

It is an arithmetic number, because the mean of its divisors is an integer number (126247599375).

Almost surely, 2^{1009101009101} is an apocalyptic number.

It is an amenable number.

1009101009101 is a deficient number, since it is larger than the sum of its proper divisors (879785899).

1009101009101 is a wasteful number, since it uses less digits than its factorization.

1009101009101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58735.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 1009101009101 in words is "one trillion, nine billion, one hundred one million, nine thousand, one hundred one".